If I start with the stress-energy tensor [itex]T^{\mu\nu}[/itex] of the electromagnetic field and then apply energy-momentum conservation [itex]\partial_\mu T^{\mu\nu}=0[/itex], I get a whole bunch of messy stuff, but, e.g., with [itex]\nu=x[/itex] part of it looks like [itex]-E_x \nabla\cdot E[/itex], which would vanish according to Maxwell's equations in a vacuum.(adsbygoogle = window.adsbygoogle || []).push({});

Is it true that you recover the complete vacuum version of Maxwell's equations by doing this? If so, is there any way to extend this to include the source terms?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Maxwell's equations from divergence of stress-energy tensor?

Loading...

Similar Threads - Maxwell's equations divergence | Date |
---|---|

I Interesting Derivation of Maxwell's Equations | Mar 11, 2018 |

A Euler's 4-squares-identity and Maxwell's equations | Nov 19, 2017 |

I Hodge operators and Maxwell's equations | Oct 22, 2017 |

I D'Alembert equation and Galilean transformation | Jan 30, 2017 |

A Assumptions behind Maxwell's equations for constant speed | Jan 20, 2017 |

**Physics Forums - The Fusion of Science and Community**